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Simplifying 1.6x2 + 7x + 21 = 0 Reorder the terms: 21 + 7x + 1.6x2 = 0 Solving 21 + 7x + 1.6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.6 the coefficient of the squared term: Divide each side by '1.6'. 13.125 + 4.375x + x2 = 0 Move the constant term to the right: Add '-13.125' to each side of the equation. 13.125 + 4.375x + -13.125 + x2 = 0 + -13.125 Reorder the terms: 13.125 + -13.125 + 4.375x + x2 = 0 + -13.125 Combine like terms: 13.125 + -13.125 = 0.000 0.000 + 4.375x + x2 = 0 + -13.125 4.375x + x2 = 0 + -13.125 Combine like terms: 0 + -13.125 = -13.125 4.375x + x2 = -13.125 The x term is 4.375x. Take half its coefficient (2.1875). Square it (4.78515625) and add it to both sides. Add '4.78515625' to each side of the equation. 4.375x + 4.78515625 + x2 = -13.125 + 4.78515625 Reorder the terms: 4.78515625 + 4.375x + x2 = -13.125 + 4.78515625 Combine like terms: -13.125 + 4.78515625 = -8.33984375 4.78515625 + 4.375x + x2 = -8.33984375 Factor a perfect square on the left side: (x + 2.1875)(x + 2.1875) = -8.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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